Suppose an investor builds a stock portfolio with a variety of shares in various high tech companies. The value of the stock portfolio is modeled by the function y = 2x^2 - 20x + 100, where y is the value of the portfolio in hundreds of dollars, and x is the time in months. a) Find the x-coordinate of the vertex. Show all work leading to your answer and write the answer in simplest form.

b) Find the y-coordinate of the vertex. Show all work leading to your answer and write the answer in simplest form.

c) What does the vertex represent for this situation? Write 1 - 2 sentences to explain your answer.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

We can find the vertex either by completing the square or taking advantage of the simple formula x = -b / (2a), which provides the x-coordinate of the vertex.

Here a = 2, b = -20 and c = 100. Then the x-coordinate of the vertex is at

x = -(-20) / (2*2), or x = 5.

Next, evaluate y = 2x^2 - 20x + 100 to find the y-coordinate of the vertex. It is y(5) = 2(5^2) - 20(5) + 100, or y(5) = 50 - 100 + 100, or 50. y = 50.

The vertex is at (5, 50). This states that the stock reaches its minimum value, $50 per share), after 5 months. From that time on, the stock appreciates (increases) in value.

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Solve this Equation 10x+2=32

Answers

x=3 ,is the answer.

The equation given: 10x+2 = 32

10x+2=32

10x=30

x=30/10

x=3

What is the best definition of an equation?

The equation is defined as the state of an equation, often expressed as an equation with equal values on both sides, or refers to a problem that needs to be considered a lot. An example equation is 2 + 2 = 3 + 1

. Linear equations have only one or two variables. Variables in linear equations are powers of 1 and are not used as the denominator of fractions. If you find a pair of values that make the linear equation true and plot those pairs on the coordinate grid, all the points are on the same line.

Learn more about equations here:brainly.com/question/13763238

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10x+2=32
10x=30
1=3
3=x

PLEASE HELP I GIVE THANKS

Answers

1)
C represents more of a linear model for the data because it has equal amount of points on both sides of the line.

2)
This equation is set up in y=mx+b
M is your slope and b is your y-intercept.
Your slope is -2. Y-intercept is 24.
y=-2x+24

3)
When J=2, the line his K at 20.

4)
This equation is set up in y=mx+b
M is your slope and b is your y-intercept.
Your slope is 15. Y-intercept is 40.
y=15x+40

Blockbuster is a store that used to rent videotapes to customers. They charged a $20 membership fee to open a new account. Then, they charged $3 per movie. Your parents had a goft card for $50. How many movies, m could they afford??? What’s the equation plzzz I will give you 100 points